Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay

Journal of Computational and Applied Mathematics

Volumn 214, Issue 2, 2008, Pages 480-494

  Peng, Chen ^a,b   Tian, Yu Chu ^a  

^a QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

^b NANJING NORMAL UNIVERSITY   (China)

Author keywords

Interval delay; Linear matrix inequalities; Robust stability; Time delay systems; Time varying delay

Indexed keywords

LINEAR MATRIX INEQUALITIES; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; TIME DELAY; VIRTUAL REALITY;

INTERVAL DELAY; MODEL TRANSFORMATION; ROBUST STABILITY CRITERIA;

UNCERTAIN SYSTEMS;

EID: 39049086696     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.03.009     Document Type: Article

References (26)

1. Chen W.H., and Zheng W.X. Delay-dependent robust stabilization for uncertain neutral systems with distributed delays. Automatica 43 (2007) 95-104
2. ∞ control of linear time-delay systems. IEEE Trans. Automat. Control 47 (2002) 253-270
3. Fridman E., and Shaked U. An improved stabilization method for linear time-delay systems. IEEE Trans. Automat. Control 47 (2002) 1931-1937
4. ∞ control of linear time-delay systems". IEEE Trans. Automat. Control 48 (2003) 520-525
5. Gu K., and Niculescu S.-I. Further remarks on additional dynamics in various model transformations of linear delay systems. IEEE Trans. Automat. Control 46 (2001) 497-500
6. Gu K., Kharitonov V.L., and Chen J. Stability of time-delay systems (2003), Birkhauser, Basel
7. Han Q.L. Absolute stability for time delay systems with sector-bound nonlinearity. Automatica 41 (2005) 2171-2176
8. ∞ filter design for systems with time-varying interval delay. IEEE Trans. Circuits and Systems II: Analog and Digital Signal Process. 53 11 (2006) 1235-1239
9. He Y., Wu M., She J.-H., and Liu G.-P. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Systems and Control Lett. 51 (2004) 57-65
10. Jiang X.F., and Han Q.L. Delay-dependent robust stability for uncertain linear systems with interval time-varying delay. Automatica 42 (2006) 1059-1065
11. Jing X.-J., Tan D.-L., and Wang Y.-C. An LMI approach to stability of systems with severe time-delay. IEEE Trans. Automat. Control 49 7 (2004) 1192-1195
12. Kim J.H. Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty. IEEE Trans. Automat. Control 46 (2001) 789-792
13. ∞ control for uncertain systems with a state delay. Automatica 40 (2004) 65-72
14. Moon Y.S., Park P., Kwon W.H., and Lee Y.S. Delay-dependent robust stabilization of uncertain state-delayed systems. Internat. J. Control 74 (2001) 1447-1455
15. Park J.H. A new delay-dependent criterion for neutral systems with multiple delays. J. Comput. Appl. Math. 136 (2001) 177-184
16. Parlakci M.N.A. Robust stability of uncertain time-varying state-delayed ststems. IEE Proc.: Control Theory Appl. 153 4 (2006) 469-477
17. Tian Y.-C., Yu Z.G., and Fidge C. Multifractal nature of network induced time delay in networked control systems. Phys. Lett. A 361 (2007) 103-107
18. Wu M., He Y., and She J.-H. New delay-dependent stability criteria and stabilizing method for neutral systems. IEEE Trans. Automat. Control 49 (2004) 2266-2271
19. Wu M., He Y., She J.-H., and Liu G.-P. Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 40 (2004) 1435-1439
20. Xu S., and Lam J. Improved delay-dependent stability criteria for time-delay systems. IEEE Trans. Automat. Control 50 3 (2005) 384-387
21. Xu S., Lam J., and Zou Y. Further results on delay-dependent robust stability conditions of uncertain neutral systems. Internat. J. Robust and Nonlinear Control 15 (2005) 233-246
22. ∞ control for systems with time-varying delay. Automatica 42 (2006) 343-348
23. ∞ control of systems with uncertainty. Automatica 41 (2005) 999-1007
24. Yue D., Peng C., and Tang G.Y. Guaranteed cost control of linear systems over networks with state and input quantisations. IEE Proc.: Control Theory Appl. 153 6 (2006) 658-664
25. Yue D., and Won S. An improvement on delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty. IEEE Trans. Automat. Control 47 (2002) 407-408
26. Yue D., Won S., and Kwon O. Delay dependent stability of neutral systems with time delay: an LMI approach. IEE Proc.: Control Theory Appl. 150 1 (2003) 23-27